Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400bi |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
260680000 = 26 · 54 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -3 -5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-358,2612] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:70:1] [-8:70:1] |
Generators of the group modulo torsion |
j |
127211200/6517 |
j-invariant |
L |
9.1146856577087 |
L(r)(E,1)/r! |
Ω |
1.7239043685073 |
Real period |
R |
0.29373521797893 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400ch1 106400bt1 |
Quadratic twists by: -4 5 |